document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153236>Question 153236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager at Cream of the Crop bought a load of watermelons for $200.  She priced the melons so that she would make $1.50 profit for each melon.  When all but 30 had been sold, the manager had recovered her initial investment.  How many did she buy originally? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112775 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 200=[(200/x)+1.50](x-30)<BR>\n" );
document.write( "200=[(200+1.5x)/x](x-30)<BR>\n" );
document.write( "200x=(200+1.5x)(x-30)<BR>\n" );
document.write( "200x=200x+1.5x^2-6,000-45x<BR>\n" );
document.write( "1.5x^2-45x-6,000=0<BR>\n" );
document.write( "(1.5x-120)(x+50)=0<BR>\n" );
document.write( "1.5x-120=0<BR>\n" );
document.write( "1.5x=120<BR>\n" );
document.write( "x=120/1.5<BR>\n" );
document.write( "x=80 is the number of watermellons bought.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "200=[(200/80)+1.5](80-30)<BR>\n" );
document.write( "200=[2.5+1.5]*50<BR>\n" );
document.write( "200=4*50<BR>\n" );
document.write( "200=200 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );